An algorithm for the robust estimation of the COVID-19 pandemic’s population by considering undetected individuals.

作者:

Highlights:

• Utilization of an algebraic differential approach and a modified, augmented system (immersion) of the A-SIR model.

• Development of a non redundant and model-free observer. No reconstruction of known variables. Full model is not required

• The estimation algorithm is robust. Asymptotically stable (noise-free) or ultimate uniformly bounded (noise).

• .

• Reconstruction of the variables of interest by means of integration processes (Liouvillian system).

• Validation of the methodology with real data reported by the Mexican Government.

摘要

•Utilization of an algebraic differential approach and a modified, augmented system (immersion) of the A-SIR model.•Development of a non redundant and model-free observer. No reconstruction of known variables. Full model is not required•The estimation algorithm is robust. Asymptotically stable (noise-free) or ultimate uniformly bounded (noise).•.•Reconstruction of the variables of interest by means of integration processes (Liouvillian system).•Validation of the methodology with real data reported by the Mexican Government.

论文关键词:COVID-19 pandemic,A-SIR model,Asymptomatic individuals estimation,Model-free estimation algorithm

论文评审过程:Received 20 November 2020, Revised 19 March 2021, Accepted 5 April 2021, Available online 8 April 2021, Version of Record 18 April 2021.

论文官网地址:https://doi.org/10.1016/j.amc.2021.126273